Yuan Zhang

most citedRigidity theorems by capacities and kernels

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2024

Boundary value problems for holomorphic functions on Lipschitz planar domains

William Gryc, Loredana Lanzani, Jue Xiong +1

We study the $\partial ˉ$ equation subject to various boundary value conditions on bounded simply connected Lipschitz domains $D \subset C$ : for the Dirichlet problem with…

math.CV2024

New Properties of Holomorphic Sobolev-Hardy Spaces

William Gryc, Loredana Lanzani, Jue Xiong +1

We give new characterizations of the optimal data space for the $L^{p} (b D, σ)$ -Neumann boundary value problem for the $\partial ˉ$ operator associated to a bounded, Lipschitz doma…

math.CV2021★ 3 cited

Rigidity theorems by capacities and kernels

Robert Xin Dong, John N. Treuer, Yuan Zhang

For any open hyperbolic Riemann surface $X$ , the Bergman kernel $K$ , the logarithmic capacity $c_{β}$ , and the analytic capacity $c_{B}$ satisfy the inequality chain $πK \geq c^2_β \…